The base side of the square never changes, the side does. The goal is to be able to create the right angle for the fold, so that Tan(x)/Tan(45) is the fraction.
IB Diploma Program Extended Essay Subject Area and Topic Selection
Candidate Name: David Zhang
Extended Essay Subject Area: Mathematics and History
Potential adviser contacted: Ms. Huang
Potential Topics:
Development of mathematical methods throughout the years
Disproving Pythagoras' Theorem
Origami and Mathematics
Mathematics in Gambling
Mathematical Patters in Nature and Society, e.g fibonacci sequence
Poincare Conjecture
Great mathematical disputes.
Student Consultation Recap
Will meet Ms. Huang to discuss Topic Saturday 23rd
Extended Essay
Subject Area: Mathematics
EE Topic: How creating 'perfect' fractions in origami relates to maths.
Useful Links:
http://www.youtube.com/watch?v=fYH47oPCwbI
http://www.youtube.com/watch?v=fYH47oPCwbI
http://www.giladorigami.com/Articles_Divisions.html
http://www.maa.org/mathland/mathtrek_06_19_06.html
Theories:
The base side of the square never changes, the side does. The goal is to be able to create the right angle for the fold, so that Tan(x)/Tan(45) is the fraction.
IB Diploma Program
Extended Essay
Subject Area and Topic Selection
Candidate Name: David Zhang
Extended Essay Subject Area: Mathematics and History
Potential adviser contacted: Ms. Huang
Potential Topics:
Development of mathematical methods throughout the years
Disproving Pythagoras' Theorem
Origami and Mathematics
Mathematics in Gambling
Mathematical Patters in Nature and Society, e.g fibonacci sequence
Poincare Conjecture
Great mathematical disputes.
Student Consultation Recap
Will meet Ms. Huang to discuss Topic Saturday 23rd